7. Solve |3x – 2| = |x + 1|

Do all variable terms have a coefficient?

Maksim231197 [3]

technically yes because even if you have a variable of just x, there is still a coefficient of 1

5 0

3 years ago

A laptop computer is purchased for $1500 after each year the resale value decreases by 25% what will the resale value be after t

Wittaler [7]

Answer:

The resale value after three years = $ 632.8125‬

Explanation:

Given the laptop purchase for $1500

Therefore, the cost price = $1500

According to the question, the resale value decreases by 25%,

Then after three years, the resale value is

Resale Value = $\text { cost Price }\left(1-\frac{r}{100}\right)^{\text {time }}$

Substituting the values,

Resale Value = $1500\left(1-\frac{25}{100}\right)^{3}$

Resale Value = $1500\times (\frac{3}{4})^3$

Resale Value = $1500\times \frac{3}{4}\times \frac{3}{4}\times \frac{3}{4}$

Resale Value = $632.8125‬

Therefore, the resale value after three years = $ 632.8125‬

3 0

3 years ago

Lamar goes shopping for a new flat-panel television. A television is usually described by the length of the screen's diagonal. H

sp2606 [1]

Answer:

The width is 36.4 inches

Step-by-step explanation:

we know that

Applying teh Pythagorean Theorem

$D^2=h^2+W^2$

where

D is the length of the diagonal of the television

W is the width

h is the height

substitute the given values

$42^2=21^2+W^2$

solve for W

$W^2=42^2-21^2\\W^2=1,323\\W=36.4\ in$

6 0

3 years ago

How would you express 2.50 as a percentage

bija089 [108]

To express any number as a decimal, just multiply it by 100 .

Often, an easy way to do that is to move the decimal point
two places to the right.

2.50 = 250%

3 0

4 years ago

Read 2 more answers

Determine the remaining sides and angles of the triangle ABC.

Goryan [66]

Answer:

Angle C ∠C = 160.49°

side b = 0.522 m

side a = 17.34 m

Step-by-step explanation:

Given that;

In a Δ ABC,

∠A = 18.95°

∠B = 0.56°

∠C = ???

side A = ???

side B = ???

side C = 17.83 m

We are to determine the unknown missing sides and the angle.

We know that, the sum of angles in a triangle = 180°

∴

∠A + ∠B + ∠C = 180°

18.95° + 0.56° + ∠C = 180°

∠C = 180° - 18.95° - 0.56°

∠C = 160.49°

Using sine rule to determine the unknown sides. The sine rule can be expressed as:

$\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }$

To determine side b, we have:

$\mathtt{ \dfrac{sin \ B}{b} = \dfrac{sin \ C}{c} }$

$\mathtt{ \dfrac{sin \ 0.56^0}{b} = \dfrac{sin \ 160.49}{17.83} }$

$\mathtt{ b (sin \ 160.49) = 17.83 (sin \ 0.56)}$

$\mathtt{ b = \dfrac{17.83 (sin \ 0.56)}{(sin \ 160.49)}}$

$\mathtt{ b = \dfrac{17.83 \times 0.0097737}{0.33397}}$

$\mathtt{ b = \dfrac{0.174265071}{0.33397}}$

b = 0.522 m

For side a, we have

$\mathtt{\dfrac{sin \ A}{a} = \dfrac{sin \ B}{b} }$

$\mathtt{\dfrac{sin \ 18.95}{a} = \dfrac{sin \ 0.56}{0.522} }$

$\mathtt{a \times sin \ 0.56 = 0.522 (sin \ 18.95)}$

$\mathtt{a = \dfrac{0.522 (sin \ 18.95)}{ sin \ 0.56}}$

$\mathtt{a = \dfrac{0.522\times 0.3247 }{ 0.0097737}}$

a = 17.34 m

5 0

3 years ago